摘要:

Abstract In this paper a very natural generalization of the two‐way analysis of variance rank statistic of Friedmanis given. The general distribution‐free test procedure based on this statistic for the effect ofJtreatments in a random block design can be applied in general two‐way layouts without interactions and with different numbers of the continuous observations per cell provided the design scheme is connected. The asymptotic distribution under the null hypothesis of the test statistic is derived. A comparison with the method ofmrankings of BenardandvanElterenis made. The disadvantage of BenardandvanElteren'stest procedure is that the number of observations per block does influence the statistic twice, namely firstly by the number itself, as it should, and see ondly by the level of the ranks which will be different in different blocks if the numbers of observations per block are different. The proposed test statistic is not sensitive to differences in the levels of the ranks caused by the different numbers of observations per block. The test is derived from considerhg the Kruskal‐Wallisstatistics per block.Finally, the results of simulation experiments are given. The simulation is carried out for three designs and a number of normal location alternatives and gives some information about the power of the suggested test procedure. A comparison is made with BenardandvanElteren'stest and with the classical analysis of variance technique. For some simple orthogonal designs the exact null distributions of BenardandvanElteren'stest and the proposed test are

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1983.tb00793.x

出版商:Blackwell Publishing Ltd    

年代:1983

数据来源: WILEY

摘要:

Abstract High measurement values often show on average a spontaneous decrease when remeasured under stationary study conditions. This effect is known as “regression to the mean”, a phenomenon widely met in biomedical research. In this paper a general formula is derived, which shows that this effect should be better called “regression to the mode”. Further it is shown that this effect may depend on the time‐spacing of repeated measurements in a stationary

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1983.tb00794.x

出版商:Blackwell Publishing Ltd    

年代:1983

数据来源: WILEY

摘要:

Abstract A displaced Poisson process is presented as a reasonable model in describing the stages of certain chronic diseases. Although in some respects the model is an oversimplification of the true picture its feature is that it facilitates the easy estimation of some of the important parameters that arise in this area. Among the quantities estimated are the mean lead time and the distribution function of the time spent in the preclinical state. Properties of some of the estimators are obtaine

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1983.tb00795.x

出版商:Blackwell Publishing Ltd    

年代:1983

数据来源: WILEY

摘要:

Abstract A class of empirical Bayes estimators (EBE's) is proposed for estimating the natural parameter of a one‐parameter exponential family. In contrast to related EBE's proposed and investigated until now, the EBE's presented in this paper possess the nice property of being monotone by construction. Based on an arbitrary reasonable estimator of the underlying marginal density, a simple algorithm is given to construct a monotone EBE. Two representations of these EBE's are given, one of which serves as a tool in establishing asymptotic results, while the other one, related with isotonic regression, proves useful in the actual computat

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1983.tb00796.x

出版商:Blackwell Publishing Ltd    

年代:1983

数据来源: WILEY

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1983.tb00797.x

出版商:Blackwell Publishing Ltd    

年代:1983

数据来源: WILEY